11451123566561 has 16 divisors (see below), whose sum is σ = 13126852417536. Its totient is φ = 9785362761216.

The previous prime is 11451123566537. The next prime is 11451123566567. The reversal of 11451123566561 is 16566532115411.

It is not a de Polignac number, because 11451123566561 - 2¹⁰ = 11451123565537 is a prime.

It is a super-3 number, since 3×11451123566561³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11451123566567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31280000 + ... + 31643966.

It is an arithmetic number, because the mean of its divisors is an integer number (820428276096).

Almost surely, 2^{11451123566561} is an apocalyptic number.

It is an amenable number.

11451123566561 is a deficient number, since it is larger than the sum of its proper divisors (1675728850975).

11451123566561 is a wasteful number, since it uses less digits than its factorization.

11451123566561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377648.

The product of its digits is 648000, while the sum is 47.

The spelling of 11451123566561 in words is "eleven trillion, four hundred fifty-one billion, one hundred twenty-three million, five hundred sixty-six thousand, five hundred sixty-one".